problem solving addition and subtraction of fractions

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Fractions  - Adding and Subtracting Fractions

Fractions  -, adding and subtracting fractions, fractions adding and subtracting fractions.

Fractions: Adding and Subtracting Fractions

Lesson 3: adding and subtracting fractions.

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Adding and subtracting fractions

In the previous lessons, you learned that a fraction is part of a whole. Fractions show how much you have of something, like 1/2 of a tank of gas or 1/3 of a cup of water.

In real life, you might need to add or subtract fractions. For example, have you ever walked 1/2 of a mile to work and then walked another 1/2 mile back? Or drained 1/4 of a quart of gas from a gas tank that had 3/4 of a quart in it? You probably didn't think about it at the time, but these are examples of adding and subtracting fractions.

Click through the slideshow to learn how to set up addition and subtraction problems with fractions.

Let's imagine that a cake recipe tells you to add 3/5 of a cup of oil to the batter.

You also need 1/5 of a cup of oil to grease the pan. To see how much oil you'll need total, you can add these fractions together.

When you add fractions, you just add the top numbers, or numerators .

That's because the bottom numbers, or denominators , show how many parts would make a whole.

We don't want to change how many parts make a whole cup ( 5 ). We just want to find out how many parts we need total.

So we only need to add the numerators of our fractions.

We can stack the fractions so the numerators are lined up. This will make it easier to add them.

And that's all we have to do to set up an addition example with fractions. Our fractions are now ready to be added.

We'll do the same thing to set up a subtraction example. Let's say you had 3/4 of a tank of gas when you got to work.

If you use 1/4 of a tank to drive home, how much will you have left? We can subtract these fractions to find out.

Just like when we added, we'll stack our fractions to keep the numerators lined up.

This is because we want to subtract 1 part from 3 parts.

Now that our example is set up, we're ready to subtract!

Try setting up these addition and subtraction problems with fractions. Don't try solving them yet!

You run 4/10 of a mile in the morning. Later, you run for 3/10 of a mile.

You had 7/8 of a stick of butter and used 2/8 of the stick while cooking dinner.

Your gas tank is 2/5 full, and you put in another 2/5 of a tank.

Solving addition problems with fractions

Now that we know how to write addition problems with fractions, let's practice solving a few. If you can add whole numbers , you're ready to add fractions.

Click through the slideshow to learn how to add fractions.

Let's continue with our previous example and add these fractions: 3/5 of cup of oil and 1/5 of a cup of oil.

Remember, when we add fractions, we don't add the denominators.

This is because we're finding how many parts we need total. The numerators show the parts we need, so we'll add 3 and 1 .

3 plus 1 equals 4 . Make sure to line up the 4 with the numbers you just added.

The denominators will stay the same, so we'll write 5 on the bottom of our new fraction.

3/5 plus 1/5 equals 4/5 . So you'll need 4/5 of a cup of oil total to make your cake.

Let's try another example: 7/10 plus 2/10 .

Just like before, we're only going to add the numerators. In this example, the numerators are 7 and 2 .

7 plus 2 equals 9 , so we'll write that to the right of the numerators.

Just like in our earlier example, the denominator stays the same.

So 7/10 plus 2/10 equals 9/10 .

Try solving some of the addition problems below.

Solving subtraction problems with fractions

Subtracting fractions is a lot like regular subtraction. If you can subtract whole numbers , you can subtract fractions too!

Click through the slideshow to learn how to subtract fractions.

Let's use our earlier example and subtract 1/4 of a tank of gas from 3/4 of a tank.

Just like in addition, we're not going to change the denominators.

We don't want to change how many parts make a whole tank of gas. We just want to know how many parts we'll have left.

We'll start by subtracting the numerators. 3 minus 1 equals 2 , so we'll write 2 to the right of the numerators.

Just like when we added, the denominator of our answer will be the same as the other denominators.

So 3/4 minus 1/4 equals 2/4 . You'll have 2/4 of a tank of gas left when you get home.

Let's try solving another problem: 5/6 minus 3/6 .

We'll start by subtracting the numerators.

5 minus 3 equals 2 . So we'll put a 2 to the right of the numerators.

As usual, the denominator stays the same.

So 5/6 minus 3/6 equals 2/6 .

Try solving some of the subtraction problems below.

After you add or subtract fractions, you may sometimes have a fraction that can be reduced to a simpler fraction. As you learned in Comparing and Reducing Fractions , it's always best to reduce a fraction to its simplest form when you can. For example, 1/4 plus 1/4 equals 2/4 . Because 2 and 4 can both be divided 2 , we can reduce 2/4 to 1/2 .

Adding fractions with different denominators

On the last page, we learned how to add fractions that have the same denominator, like 1/4 and 3/4 . But what if you needed to add fractions with different denominators? For example, our cake recipe might say to blend 1/4 cup of milk in slowly and then dump in another 1/3 of a cup.

In Comparing and Reducing Fractions , we compared fractions with a different bottom number, or denominator. We had to change the fractions so their denominators were the same. To do that, we found the lowest common denominator , or LCD .

We can only add or subtract fractions if they have the same denominators. So we'll need to find the lowest common denominator before we add or subtract these fractions. Once the fractions have the same denominator, we can add or subtract as usual.

Click through the slideshow to learn how to add fractions with different denominators.

Let's add 1/4 and 1/3 .

Before we can add these fractions, we'll need to change them so they have the same denominator .

To do that, we'll have to find the LCD , or lowest common denominator, of 4 and 3 .

It looks like 12 is the smallest number that can be divided by both 3 and 4, so 12 is our LCD .

Since 12 is the LCD, it will be the new denominator for our fractions.

Now we'll change the numerators of the fractions, just like we changed the denominators.

First, let's look at the fraction on the left: 1/4 .

To change 4 into 12 , we multiplied it by 3 .

Since the denominator was multiplied by 3 , we'll also multiply the numerator by 3 .

1 times 3 equals 3 .

1/4 is equal to 3/12 .

Now let's look at the fraction on the right: 1/3 . We changed its denominator to 12 as well.

Our old denominator was 3 . We multiplied it by 4 to get 12.

We'll also multiply the numerator by 4 . 1 times 4 equals 4 .

So 1/3 is equal to 4/12 .

Now that our fractions have the same denominator, we can add them like we normally do.

3 plus 4 equals 7 . As usual, the denominator stays the same. So 3/12 plus 4/12 equals 7/12 .

Try solving the addition problems below.

Subtracting fractions with different denominators

We just saw that fractions can only be added when they have the same denominator. The same thing is true when we're subtracting fractions. Before we can subtract, we'll have to change our fractions so they have the same denominator.

Click through the slideshow to learn how to subtract fractions with different denominators.

Let's try subtracting 1/3 from 3/5 .

First, we'll change the denominators of both fractions to be the same by finding the lowest common denominator .

It looks like 15 is the smallest number that can be divided evenly by 3 and 5 , so 15 is our LCD.

Now we'll change our first fraction. To change the denominator to 15 , we'll multiply the denominator and the numerator by 3 .

5 times 3 equals 15 . So our fraction is now 9/15 .

Now let's change the second fraction. To change the denominator to 15 , we'll multiply both numbers by 5 to get 5/15 .

Now that our fractions have the same denominator, we can subtract like we normally do.

9 minus 5 equals 4 . As always, the denominator stays the same. So 9/15 minus 5/15 equals 4/15 .

Try solving the subtraction problems below.

Adding and subtracting mixed numbers

Over the last few pages, you've practiced adding and subtracting different kinds of fractions. But some problems will need one extra step. For example, can you add the fractions below?

In Introduction to Fractions , you learned about mixed numbers . A mixed number has both a fraction and a whole number . An example is 2 1/2 , or two-and-a-half . Another way to write this would be 5/2 , or five-halves . These two numbers look different, but they're actually the same.

5/2 is an improper fraction . This just means the top number is larger than the bottom number. Even though improper fractions look strange, you can add and subtract them just like normal fractions. Mixed numbers aren't easy to add, so you'll have to convert them into improper fractions first.

Let's add these two mixed numbers: 2 3/5 and 1 3/5 .

We'll need to convert these mixed numbers to improper fractions. Let's start with 2 3/5 .

As you learned in Lesson 2 , we'll multiply the whole number, 2 , by the bottom number, 5 .

2 times 5 equals 10 .

Now, let's add 10 to the numerator, 3 .

10 + 3 equals 13 .

Just like when you add fractions, the denominator stays the same. Our improper fraction is 13/5 .

Now we'll need to convert our second mixed number: 1 3/5 .

First, we'll multiply the whole number by the denominator. 1 x 5 = 5 .

Next, we'll add 5 to the numerators. 5 + 3 = 8 .

Just like last time, the denominator remains the same. So we've changed 1 3/5 to 8/5 .

Now that we've changed our mixed numbers to improper fractions, we can add like we normally do.

13 plus 8 equals 21 . As usual, the denominator will stay the same. So 13/5 + 8/5 = 21/5 .

Because we started with a mixed number, let's convert this improper fraction back into a mixed number.

As you learned in the previous lesson , divide the top number by the bottom number. 21 divided by 5 equals 4, with a remainder of 1 .

The answer, 4, will become our whole number.

And the remainder , 1, will become the numerator of the fraction.

So 2 3/5 + 1 3/5 = 4 1/5 .

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Fraction Word Problems (Grade 5)

These lessons, with videos, examples and solutions help Grade 5 students learn to solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.

Related Pages Common Core for Grade 5 More Lessons for Grade 5

For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

Common Core: 5.NF.2

Suggested Learning Targets

• I can solve addition and subtraction word problems with fractions.
• I can estimate fractions to make sense of my answer.

Solve Fraction Word Problems with Visual Bar Models

Example: Kayla weighed her Halloween treats. She counted 1/4 of a pound of lollipops and 2/7 of a pound of gobstoppers. She also counted 1/3 of a pound of mints. How many pounds of candy did Kayla have altogether?

Add mixed numbers word problems

Example: While gardening, Jan spend 1 3/4 hours planting and 2 1/8 hours trimming. What was the total hours worked by Jan in her garden?

Solve word problems involving addition of fractions - unlike denominators

Example: Matthew ran 1/6 of a mile then took a break before running another 3/4 of a mile. How far did Matthew run in all?

Subtracting Fractions From Whole Numbers Solve a word problem using bar models.

Example: A craft store has a 9-yard spool of ribbon. In the morning, a customer buys 1/5 yard of ribbon from the spool. In the afternoon, another customer buys 7/10 yard of ribbon from the spool. How much ribbon is left?

Adding and subtracting unlike fractions word problems

• Drew and Maddy were filling the class raised garden bed with soil. Drew shoveled in 1/3 of a cubic yard, and Maddy shoveled in 1/2 of a cubic yard. How much soil did they put into the garden bed altogether?
• Caden invited Owen over to his house. Caden shared his chocolate stash from last Halloween. He still had 4/5 of a pound of chocolate. Caden asked Owen how much chocolate he would like. Owen said that he would like 1/3 of a pound of chocolate. How much chocolate does Caden have left?

Adding and subtracting mixed numbers word problems

• Jaida went gold panning and found 1 1/5 pounds of gold. The next day she found 3 1/4 pound more. How much total gold did Jaida find?
• Jonathan collected 4 1/2 kilograms of filberts. He gave 2 3/4 kilograms to his friend. How many kilograms of filberts does Jonathan have now?

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Addition and Subtraction of Fraction: Methods, Examples, Facts, FAQs

What is addition and subtraction of fractions, methods of addition and subtraction of fractions, addition and subtraction of mixed numbers, solved examples on addition and subtraction of fractions, practice problems on addition and subtraction of fractions, frequently asked questions on addition and subtraction of fractions.

Addition and subtraction of fractions are the fundamental operations on fractions that can be studied easily using two cases:

• Addition and subtraction of like fractions (fractions with same denominators)
• Addition and subtraction of unlike fractions (fractions with different denominators)

A fraction represents parts of a whole. For example, the fraction 37 represents 3 parts out of 7 equal parts of a whole. Here, 3 is the numerator and it represents the number of parts taken. 7 is the denominator and it represents the total number of parts of the whole.

Adding and subtracting fractions is simple and straightforward when it comes to like fractions. In the case of unlike fractions, we first need to make the denominators the same. Let’s take a closer look at both these cases.

Before adding and subtracting fractions, we first need to make sure that the fractions have the same denominators. 

When the denominators are the same, we simply add the numerators and keep the denominator as it is. To add or subtract unlike fractions, we first need to learn how to make the denominators alike. Let’s learn how to add fractions and how to subtract fractions in both cases.

Related Worksheets

Addition and Subtraction of Like Fractions

The rules for adding fractions with the same denominator are really simple and straightforward. 

Let’s learn with the help of examples and visual bar models.

Addition of Like Fractions

Here are the steps to add fractions with the same denominator:

Step 1: Add the numerators of the given fractions. 

Step 2: Keep the denominator the same. 

Step 3: Simplify.          

$\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}$  …$c \neq 0$

Example 1: Find $\frac{1}{4} + \frac{2}{4}$ .

$\frac{1}{4} + \frac{2}{4} = \frac{1 + 2}{4} = \frac{3}{4}$

We can visualize this addition using a bar model:

Example 2: $\frac{1}{8} + \frac{3}{8} = \frac{1 + 3}{8} = \frac{4}{8} = \frac{1}{2}$

Subtraction of Like Fractions

Here are the steps to subtract fractions with the same denominator:

Step 1: Subtract the numerators of the given fractions. 

Step 3: Simplify. 

$\frac{a}{c}\;-\;\frac{b}{c} = \frac{a \;-\; b}{c}$ …$c \neq 0$

Example 1: Find $\frac{4}{6} \;-\; \frac{1}{6}$.

$\frac{4}{6}\;-\;\frac{1}{6} = \frac{4-1}{6} = \frac{3}{6} = \frac{1}{2}$

Addition and Subtraction of Unlike Fractions

Addition and subtraction of fractions with unlike denominators can be a little bit tricky since the denominators are not the same. So, we need to first convert the unlike fractions into like fractions. Let’s look at a few ways to do this!

Addition of Unlike Fractions

We can make the denominators the same by finding the LCM of the two denominators. Once we calculate the LCM, we multiply both the numerator and the denominator with an appropriate number so that we get the LCM value in the denominator. 

Example: $\frac{3}{5} + \frac{3}{2}$

Step 1: Find the LCM (Least Common Multiple) of the two denominators.

The LCM of 5 and 2 is 10.

Step 2: Convert both the fractions into like fractions by making the denominators same.  

$\frac{3 \times 2}{5 \times 2} = \frac{6}{10}$  

$\frac{3 \times 5}{2 \times 5} = \frac{15}{10}$

Step 3: Add the numerators. The denominator stays the same.

$\frac{6}{10} + \frac{15}{10} = \frac{21}{10}$

Step 4: Convert the resultant fraction to its simplest form if the GCF of the numerator and denominator is not 1. 

In this case, GCF (21,10) $= 1$

The fraction $\frac{21}{10}$ is already in its simplest form. 

Thus, $\frac{3}{5} + \frac{3}{2} = \frac{21}{10}$

Subtraction of Unlike Fractions

Let’s learn how to subtract fractions when denominators are not the same. To subtract unlike fractions, we use the LCM method. The process is similar to what we discussed in the previous example.

Example: $\frac{5}{6} \;-\; \frac{2}{9}$

Step 1: Find the LCM of the two denominators.

LCM of 6 and $9 = 18$

Step 2: Convert both the fractions into like fractions by making the denominators same.

$\frac{5 \times 3}{6 \times 3} = \frac{15}{18}$   

$\frac{2 \times 2}{9 \times 2} = \frac{4}{18}$

Step 3: Subtract the numerators. The denominator stays the same.

$\frac{15}{18} \;-\; \frac{4}{18} = \frac{11}{18}$

In this case, the GCF (11,18) $= 1$

So, it is already in its simplest form. 

Thus, $\frac{5}{6}\;-\; 29 = \frac{11}{18}$

A mixed number is a type of fraction that has two parts: a whole number and a proper fraction. It is also known as a mixed fraction. Any mixed number can be written in the form of an improper fraction and vice-versa. 

Adding and subtracting mixed fractions is done by converting mixed numbers into improper fractions .

Addition and Subtraction of Mixed Fractions with Same Denominators

The steps of adding and subtracting mixed numbers with the same denominators are the same. The only difference is the operation.

Step 1: Convert the given mixed fractions to improper fractions.

Step 2: Add/Subtract the like fractions obtained in step 1.

Step 3: Reduce the fraction to its simplest form.

Step 4: Convert the resulting fraction into a mixed number.

Example 1: $2\frac{1}{5} + 1\frac{3}{5}$

$2\frac{1}{5} = \frac{(5 \times 2) + 1}{5} = \frac{11}{5}$

$1\frac{3}{5} = \frac{(5 \times 1) + 3}{5} = \frac{8}{5}$

Thus, $2\frac{1}{5} + 1\frac{3}{5} = \frac{11}{5} + \frac{8}{5} = \frac{19}{5}$

Converting $\frac{19}{5}$ into a mixed number, we get

$\frac{19}{5} = 3\frac{4}{5}$

Example 2: $2\frac{1}{5} + 1\frac{3}{5} = \frac{11}{5} \;-\; \frac{8}{5} = \frac{3}{5}$

Addition and Subtraction of Mixed Fractions with Unlike Denominators

Step 2: Convert both the fractions into like fractions by finding the least common denominator.

Step 3: Add the fractions. (or subtract the fractions.)

Step 4: Reduce the fraction if possible or convert back to a mixed number 

Let us understand the addition of mixed numbers with unlike denominators with the help of an example.

Example 1: Find the value of $1\frac{3}{5} + 2\frac{1}{2}$.

Convert the given mixed fractions to improper fractions.

$1\frac{3}{5} = \frac{8}{5}$ and $2\frac{1}{2} = \frac{5}{2}$

Step 2: Convert both the fractions into like fractions by making the denominators the same.

Here, LCM of 5 and 2 is 10.

Thus, $\frac{8 \times 2}{5 \times 2} = \frac{16}{10}$ and $\frac{5\times 5}{2 \times 5} = \frac{25}{10}$

Step 3: Add the fractions by adding the numerators.

$\frac{16}{10} + \frac{25}{10} = \frac{41}{10}$

Step 4: Convert back into a mixed number. 

Thus, $\frac{41}{10}$ will become  $4\frac{1}{10}$

Therefore, $1\frac{3}{5} + 2\frac{1}{2} =  4\frac{1}{10}$

Here’s an example for subtraction. It follows the same steps.

Example 2 : $6\frac{1}{2} \;-\; 1\frac{3}{4}$

Step 1: Convert the mixed numbers into improper fractions.

     $6\frac{1}{2} \;-\; 1\frac{3}{4} = \frac{13}{2} \;-\; \frac{7}{4}$

Step 2: Make the denominators equal.

LCM of 2 and 4 is 4. 

   $\frac{13 \times 2}{2 \times 2} = \frac{26}{4}$ 

Step 3: Subtract the fractions.

        $\frac{26}{4} \;-\;  \frac{7}{4} = \frac{19}{4}$

Step 4: Convert the fraction as a mixed number.

            $\frac{19}{4}  = 4\frac{3}{4}$  

Thus, $6\frac{1}{2} \;-\; 1\frac{3}{4}  =   4\frac{3}{4}$  

Facts about Addition and Subtraction of Fractions

• We cannot add or subtract fractions without converting them into like fractions.
• Like fractions are fractions that have the same denominator, and unlike fractions are fractions that have different denominators.
• Equivalent fractions are two different fractions that represent the same value.
• The LCD (least common denominator) of two fractions is the LCM of the denominators.

In this article, we have learned about addition and subtraction of fractions (like fractions, unlike fractions, mixed fractions), methods of addition and subtraction of these fractions along with the steps. Let’s solve some examples on adding and subtracting fractions to understand the concept better.

• Solve: $\frac{2}{4} + \frac{1}{4}$ .

Solution: 

Here, the denominators are the same.

Thus, we add the numerators by keeping the denominators as it is.

$\frac{2}{4} + \frac{1}{4} = \frac{2 + 1}{4}$ 

$\frac{2}{4} + \frac{1}{4} = \frac{3}{4}$

2. Find the sum of the fractions $\frac{3}{5}$ and $\frac{5}{2}$ by using the LCM method.

$\frac{3}{5}$ and $\frac{5}{2}$ are unlike fractions.

The LCM of 2 and 5 is 10.

Thus, we can write

$\frac{3}{5} + \frac{5}{2} = \frac{3 \times 2}{5 \times 2} + \frac{5 \times 5}{2 \times 5}$

$= \frac{6}{10} + \frac{25}{10}$

            $= \frac{6}{10} + \frac{25}{10}$

            $= \frac{31}{10}$

Thus, $\frac{3}{5} + \frac{5}{2} =  \frac{31}{10}$

3. Find $\frac{4}{16} + \frac{5}{8}$.

Solution:  

To add two fractions with different denominators, we first need to find the LCM of the denominators.

The LCM of 16 and 8 is 16.

$\frac{4}{16} + \frac{5}{8} = \frac{4 \times 1}{16\times 1} + \frac{5 \times 2}{8 \times 2}$ 

            $= \frac{10}{16} + \frac{4}{16}$ 

            $= \frac{14}{16}$

$= \frac{7}{8}$

4. From a rope $12\frac{1}{2}$ ft. long, a $7 \frac{6}{8}\;-$ ft-long piece is cut off. Find the length of the remaining rope.

Total length of the rope $= 12\frac{1}{2}$ ft.

Length of the rope that was cut off $= 7 \frac{6}{8}$ ft. 

The length of the remaining rope $= 12\frac{1}{2} \;-\; 7 \frac{6}{8}$

$12\frac{1}{2} \;-\; 7 \frac{6}{8} = \frac{25}{2} \;-\; \frac{62}{8}$

         $= \frac{25 \times 4}{2 \times 4} \;-\; \frac{62 \times 1}{8\times 1}$

         $= \frac{100}{8} \;-\; \frac{62}{8}$

         $= \frac{38}{8}$

         $= \frac{19}{4}$

Converting it into a mixed fraction, $\frac{19}{4}$ becomes $4 \frac{3}{4}$.

Thus, the length of the remaining rope is $4\frac{3}{4}$ ft.

Attend this quiz & Test your knowledge.

Find $\frac{2}{4} + \frac{2}{4}$.

$\frac{7}{24} + \frac{5}{16} =$, what is the least common denominator of $\frac{1}{2}$ and $\frac{1}{3}$, $\frac{3}{6} \;-\; \frac{1}{6} =$, what equation does the following figure represent.

How do we add and subtract negative fractions?

Negative fractions are simply fractions with a negative sign. The steps to add and subtract the negative fractions remain the same. We need to follow the rules for addition/subtraction with negative signs.

How can we convert an improper fraction into a mixed number?

To convert an improper fraction into a mixed number, we divide the numerator by the denominator. The denominator stays the same. The quotient represents the whole number part. The remainder represents the numerator of the mixed number.

Example: $\frac{14}{3} = 4\; \text{R}\; 2$

Quotient $= 4$

Remainder $= 2$

$\frac{14}{3} = 4\frac{2}{3}$

How do we divide two fractions?

To divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction.

$\frac{A}{B} \div \frac{C}{D} = \frac{A}{B} \times \frac{D}{C}$

For example, $\frac{1}{2} \div \frac{3}{5} = \frac{1}{2} \times \frac{5}{3} = \frac{5}{6}$

What are the rules of adding and subtracting fractions?

• Before adding or subtracting, we check if the fractions have the same denominator.
• If the denominators are equal, then we add/subtract the numerators keeping the common denominator.
• If the denominators are different, then we make the denominators equal by using the LCM method. Once the fractions have the same denominator, we can add/subtract the numerators keeping the common denominator as it is.

How do we add and subtract fractions with whole numbers?

• Convert the whole number to a fraction. To do this, give the whole number a denominator of 1.
• Convert to fractions of like denominators. 
• Add/subtract the numerators. Now that the fractions have the same denominators, you can treat the numerators as a normal addition/subtraction problem.

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Fraction Word Problems: Addition, Subtraction, and Mixed Numbers

In today’s post, we’re going to see how to solve some of the problems that we’ve introduced in Smartick: fraction word problems. They appear during the word problems section at the end of the daily session.

We’re going to look at how to solve problems involving addition and subtraction of fractions, including mixed fractions (the ones that are made up of a whole number and a fraction).

Try and solve the fraction word problems by yourself first, before you look for the solutions and their respective explanations below.

Fraction Word Problems

Problem nº 1.

Problem nº 2

Problem nº 3

Solution to Problem nº 1

This is an example of a problem involving the addition of a whole number and a fraction.

The simplest way to show the number of cookies I ate is to write it as a mixed number. And the data given in the word problem gives us the result: 9 biscuits and 5 / 6 of a biscuit = 9 5 / 6 biscuits.

Solution to Problem nº 2

In this example, we have to subtract two fractions with the same denominator.

To calculate how full the gas tank is, we have to subtract both fractions. Since we are given fractions, the best way to present the solution is in the form of a fraction. Additionally, we’re dealing with two fractions with the same denominator, so we just have to subtract the numerators of both fractions to get the result. 8 / 10 – 4 / 10 = 4 / 10

Solution to Problem nº 3

This problem requires us to subtract a mixed number and a fraction.

To solve this problem, we need to subtract the number of episodes that were downloaded this morning from the total number of episodes that are now downloaded.

To do this, we need to change the mixed number into a fraction: the 5 becomes 60 / 12 (5 x 12 = 60) and we add it to the fraction 60 / 12 + 8 / 12 = 68 / 12 .

We’ve converted the mixed number 5 8 / 12 to 68 / 12 . Now we just have to subtract the number of episodes that were downloaded yesterday ( 7 / 12 ),   68 / 12 – 7 / 12 = 61 / 12 .

Hopefully, you didn’t need the explanations and were able to solve them yourself without any help!

Fraction Video Tutorials

In the following video tutorials, you can learn a bit more about fractions. And if you would like to learn more math concepts, check out Smartick’s Youtube channel !

Simplifying Fractions

Simplification Using the GCD

Equivalent Fractions

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How to Add and Subtract Fractions

Last Updated: April 6, 2024 Fact Checked

This article was co-authored by David Jia . David Jia is an Academic Tutor and the Founder of LA Math Tutoring, a private tutoring company based in Los Angeles, California. With over 10 years of teaching experience, David works with students of all ages and grades in various subjects, as well as college admissions counseling and test preparation for the SAT, ACT, ISEE, and more. After attaining a perfect 800 math score and a 690 English score on the SAT, David was awarded the Dickinson Scholarship from the University of Miami, where he graduated with a Bachelor’s degree in Business Administration. Additionally, David has worked as an instructor for online videos for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math. There are 10 references cited in this article, which can be found at the bottom of the page. This article has been fact-checked, ensuring the accuracy of any cited facts and confirming the authority of its sources. This article has been viewed 159,271 times.

Adding and subtracting fractions is an essential skill to have. Fractions show up in daily life all the time, especially in math classes, from elementary school through college. Just follow these steps to learn how to add and subtract them, whether they're like fractions, unlike fractions, mixed, or improper fractions. Once you know one way, the rest is pretty easy!

Adding and Subtracting Fractions with the Same Denominator

• In other words, 1/5 and 2/5 does not need to be written as 1/5 + 2/5 = ? It can be written as 1+2/5 = ? . The denominator is the same, so it can be written only once. Both numerators then go on top.

• Whether you have it written 1/5 + 2/5 or 1+2/5, you answer should be the same: 3! After all, 1 + 2 = 3.

• So, using the same example, our denominator is 5. That's it! That's the bottom number of our fraction. That's half the answer already!

• What was your numerator? 3. The denominator? 5. Therefore, 1/5 + 2/5, or 1+2/5, equals 3/5 .

Adding and Subtracting Fractions with Different Denominators

• Write out the multiples . The multiples of 3 are 3, 6, 9, 12, 15, 18...and so on. The multiples of 4? 4, 8, 12, 16, 20, etc. What's the lowest number seen in both of the sets? 12! That's your lowest common denominator, or LCD.
• Multiply the numbers together for small numbers. In some cases, like this one, you could just multiply the numbers together – 3 x 4 = 12. However, if your denominators are big, don't do this! You don't want to multiply 56 x 44 and have to work with 2,464 as your answer!

• You'll notice that the denominators, in this instance, are multiplied by each other. This works in this situation, but not all situations. Sometimes, instead of multiplying the two denominators together, you can multiply both denominators by different numbers to get one small number.
• And then in other cases, sometimes you only have to multiply one denominator to make it equal to the denominator of the other fraction in the equation.

• We had 2/3x4 and 3/4x3 as our first step – to add the second step, it's really 2 x 4/3 x 4 and 3 x 3/4 x 3. That means our new numbers are 8/12 and 9/12. Perfect!

• For this example, (8+9)/12 = 17/12. To turn this into a mixed fraction, simply subtract the denominator from the numerator and see what's left over. In this case, 17/12 = 1 5/12

Adding and Subtracting Mixed and Improper Fractions

• For the example for this section, let's work with 13/12 and 17/8.

• Let's figure out the multiples of our example, 12 and 8. What's the smallest number these two go into? 24. 8, 16, 24 and 12, 24 – bingo!

• So 13 x 2/12 x 2 = 26/24. And 17 x 3/8 x 3 = 51/24. We're well on our way to solving the problem!

• 26/24 + 51/24 = 77/24. There's your one fraction! That top number is mighty big, though....

• For this example, 24 goes into 77 three times. That is, 24 x 3 = 72. But there's 5 leftover! So what's your final answer? 3 5/24. That's it!

Adding and Subtracting Fractions without looking for the LCD

• e.g. ½ + ¾ + ⅝

• Multiply ¹ to the denominator/s of the other fractions.
• Multiply 1 to 4 and 8. [32]

• Multiply 3 with 2 and 8. [48]
• Lastly, multiply 5 with 4 and 2. [40]

• 32+48+40=120

• 120/64 = 1 56/64 = 1 ⅞

Joseph Meyer

To simplify fractions, you can divide both the numerator and denominator by a common factor. This creates a new, easier-to-use fraction with smaller components, but it represents the same value. For instance, if you divide both the numerator and denominator of 6/12 by 2, you get 3/6, which is equal to 1/2.

Calculator, Practice Problems, and Answers

Community Q&A

• This method might lead you to multiplying large numbers.
• This might require you a calculator.

You Might Also Like

• ↑ https://www.chilimath.com/lessons/introductory-algebra/adding-and-subtracting-fractions-with-same-or-like-denominator/
• ↑ https://www.mathsisfun.com/fractions_subtraction.html
• ↑ https://edu.gcfglobal.org/en/fractions/adding-and-subtracting-fractions/1/
• ↑ https://www.mathsisfun.com/least-common-denominator.html
• ↑ https://www.coolmath4kids.com/math-help/fractions/adding-and-subtracting-fractions-different-denominators
• ↑ https://www.bbc.co.uk/bitesize/topics/zhdwxnb/articles/z9n4k7h
• ↑ https://www.georgebrown.ca/sites/default/files/uploadedfiles/tlc/_documents/Adding_and_Subtracting_Mixed_Numbers_and_Improper_Fractions.pdf
• ↑ https://www.mathsisfun.com/numbers/fractions-mixed-addition.html
• ↑ https://www.chilimath.com/lessons/introductory-algebra/adding-and-subtracting-fractions-with-different-denominators/

About This Article

To add and subtract fractions with the same denominator, or bottom number, place the 2 fractions side by side. Add or subtract the numerators, or the top numbers, and write the result in a new fraction on the top. The bottom number of the answer will be the same as the denominator of the original fractions. To learn how to add and subtract fractions with different denominators, keep reading! Did this summary help you? Yes No

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Book 1 teaches fraction concepts, Book 2 teaches multiplying and dividing, Book 3 teaches adding and subtracting, and Book 4 teaches mixed numbers. Each book has a practice test at the end. Pre-algebra lessons Pre-algebra word problems Algebra lessons Algebra word problems Algebra proofs Advanced algebra Geometry lessons Geometry word problems Geometry proofs Trigonometry lessons Consumer math Baseball math Math for nurses Statistics made easy High school physics Basic mathematics store SAT Math Prep Math skills by grade level Ask an expert Other websites K-12 worksheets Worksheets generator Algebra worksheets Geometry worksheets Free math problem solver Pre-algebra calculators Algebra Calculators Geometry Calculators Math puzzles Math tricks Member login Adding fractions word problems Have a great basic math word problem. Share it here with a very detailed solution! Enter Your Title Entering your basic math word problem is easy to do. Just type!... Your problem will appear on a Web page exactly the way you enter it here. You can wrap a word in square brackets to make it appear bold. For example [my story] would show as on the Web page containing your word problem. TIP: Since most people scan Web pages, include your best thoughts. Do you have a picture to add? Great! Click the button and find it on your computer. Then select it. Add a Picture/Graphic Caption (optional)   Click here to upload more images (optional) Author Information (optional) To receive credit as the author, enter your information below. Submit Your Contribution Check box to agree to these   submission guidelines . I am at least 16 years of age. I understand and accept the privacy policy . I understand that you will display my submission on your website. (You can preview and edit on the next page) What Other Visitors Have Said Click below to see contributions from other visitors to this page... Click here to write your own. Subtracting fractions word problems Recent Articles How to divide any number by 5 in 2 seconds. Feb 28, 24 11:07 AM Math Trick to Square Numbers from 50 to 59 Feb 23, 24 04:46 AM Sum of Consecutive Odd Numbers Feb 22, 24 10:07 AM 100 Tough Algebra Word Problems. If you can solve these problems with no help, you must be a genius!  Recommended About me :: Privacy policy :: Disclaimer :: Donate   Careers in mathematics   Copyright © 2008-2021. Basic-mathematics.com. All right reserved Worksheet on Add and Subtract Fractions Recall the topic carefully and practice the questions given in the math worksheet on add and subtract fractions. The question mainly covers addition with the help of a fraction number line, subtraction with the help of a fraction number line, add the fractions with the same denominator, subtract the fractions with the same denominator and word problems on add and subtract fractions. 1.  Add with the help of a fraction number line: (a) ²/₃ + ¹/₃ (b) ³/₇ + ²/₇ (c) ⁶/₁₀ + ¹/₁₀ 2.  Subtract with the help of a fraction number line:  (a) ⁹/₁₀ - ³/₁₀ (b) ⁵/₆ - ²/₆ (c) ⁷/₈ - ⁴/₈ 3. Add:  (a) ⁷/₁₀ + ²/₁₀ (b) ⁶/₈ + ⁴/₈ (c) ⁵/₉ + ²/₉ + ¹/₉ (d) ⁸/₁₁ + ²/₁₁ (e) ⁴/₉ + ⁷/₉ (f) ³/₈ + ⁵/₈ + ²/₈ (g) ⁴/₆ + ²/₆ + ¹/₆ (h) ⁷/₁₂ + ⁵/₁₂ + ⁶/₁₂ 4. Find the difference. Remember to show the answer in the simplest form: (a) ⁹/₁₄ - ⁴/₁₄ (b) ⁶/₁₁ - ³/₁₁ (c) ⁸/₁₂ - ⁴/₁₂ (d) ¹²/₁₅ - ⁹/₁₅ (e) ¹²/₁₃ - ⁹/₁₃ (f) ⁶/₁₀ - ²/₁₀ (g) ⁹/₁₆ - ⁵/₁₆ (h) ¹²/₁₄ - ⁸/₁₄ Worksheet on Word Problems on Addition and Subtraction of Like Fractions: 5. Solve these problems: (a) ¹/₃ of the school garden has vegetable and another ¹/₃ has flowers. What part of the garden is left to grow grass? (b) Sam spent ¹/₆ of his Sunday doing home work and ³/₆ of the day watching cricket. What part of the day was left to do other things? (c) My mother ate ¹/₈ of the cake and my father ³/⁸. How much of the cake has been eaten and how much is left? (d) Pearl bought ²/₃ of her school books last week. What part is still left to be bought? (e) Sonia walked ³/₈ of the distance to school and ran ⁵/₈ of the distance. How much more of the distance does she need to cover? (f) Emma likes chocolate. One day she bought a chocolate and ate \(\frac{5}{8}\) of it in the morning and \(\frac{2}{8}\) in the evening. How much part of the chocolate has she eaten? (g) James and  Lucas are eating a pizza.  James ate \(\frac{3}{4}\) of the pizza and  Lucas ate  \(\frac{1}{4}\) of pizza. Who ate more pizza? (h) Sophia completed \(\frac{2}{5}\) of her homework before going out for play. She did \(\frac{1}{5}\) of her homework after the play. 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Whether it's sharing a meal with your friends or measuring the ingredients for a recipe, adding fractions is at the heart of it all, hence our worksheets. A wealth of real-life scenarios that involve addition of fractions with whole numbers and addition of two like fractions, two unlike fractions, and two mixed numbers, our pdf worksheets are indispensable for grade 3, grade 4, grade 5, and grade 6 students. The free fraction addition word problems worksheet is worth a try! Adding Fractions with Whole Numbers Dazzle 3rd grade kids with a gift of lifelike story problems! If you're a novice up against fraction addition, don't miss our pdf adding fractions word problems worksheets using whole numbers and fractions! Download the set Adding Like Fractions Word Problems Gerald ate 5/9 of an apple, and Garry ate 4/9 of it. How many apples did they eat in all? Good going! They both ate one whole apple. Simply combine the numerators and solve the like fraction word problems here! Adding Unlike Fractions A potpourri of word problems that involve adding unlike fractions, these pdfs mean that 4th grade and 5th grade students will breeze through addition of fractions with different denominators in their day-to-day lives. Adding Mixed Numbers | Same Denominators See in your mind's eye adding mixed numbers with same denominators riding on the several real-life scenarios in our printable worksheets! Convert the mixed numbers to fractions, and add them as usual. Adding Mixed Numbers | Different Denominators Steal a march on your 5th grade and 6th grade peers by getting your act together to power through the real-world situations featured in this set of printable adding mixed numbers word problems worksheets. Related Worksheets » Adding Like Fractions » Adding Unlike Fractions » Adding Mixed Numbers » Adding Fractions with Whole Numbers » Fraction Word Problems Become a Member Membership Information Privacy Policy What's New? Printing Help Testimonial Copyright © 2024 - Math Worksheets 4 Kids This is a members-only feature! 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Below are three versions of our grade 4 math worksheet on adding and subtracting fractions and mixed numbers.  All fractions have like denominators.  Some problems will include irrelevant data so that students have to read and understand the questions, rather than simply recognizing a pattern to the solutions.  These worksheets are pdf files . These worksheets are available to members only. Join K5 to save time, skip ads and access more content. Learn More More word problem worksheets Explore all of our math word problem worksheets , from kindergarten through grade 5. What is K5? K5 Learning offers free worksheets , flashcards  and inexpensive  workbooks  for kids in kindergarten to grade 5. Become a member  to access additional content and skip ads. Our members helped us give away millions of worksheets last year. We provide free educational materials to parents and teachers in over 100 countries. If you can, please consider purchasing a membership ($24/year) to support our efforts. Members skip ads and access exclusive features. Learn about member benefits This content is available to members only. Forgot Password? International Education Jobs Schools directory Resources Education Jobs Schools directory News Search Adding and Subtracting Fraction Word Problems Subject: Mathematics Age range: 7-11 Resource type: Worksheet/Activity Last updated 16 June 2015 Share through email Share through twitter Share through linkedin Share through facebook Share through pinterest Creative Commons "Sharealike" Your rating is required to reflect your happiness. It's good to leave some feedback. Something went wrong, please try again later. Perfect for my year 7. Thank you for sharing. Empty reply does not make any sense for the end user excellent - just what I was looking for roger_matthews Helpful sheet for practicing wordy fraction questions. Answers can sometimes be simplified further. Report this resource to let us know if it violates our terms and conditions. Our customer service team will review your report and will be in touch. Not quite what you were looking for? Search by keyword to find the right resource: In order to continue enjoying our site, we ask that you confirm your identity as a human. Thank you very much for your cooperation. Math Worksheets Land Math Worksheets For All Ages Math Topics Grade Levels Addition and Subtraction Fraction Word Problems Worksheets Math word problems are sentence-based exercises that more often, than not, describe real world scenarios and situations that you may run into on your daily routine. Students should have some basic experience with these types of problems. The particular type of problems that we explore on this page focus on those that include a fractional value. To help acclimate students to using factions in this form, we focus solely on the use of addition and/or subtraction operations. Students will first identify the needed math operation(s) and then on the math involved when working with fractions. These worksheets help students identify the operations that should take place between fraction in a word problem. Aligned Standard: Grade 4 Fractions - 4.NF.3 Subtraction of Fractions Step-by-Step Lesson - Jack is just giving his popcorn away. Guided Lesson - Jello, walking to the market, and spinach soup. All calculations I make everyday, less the spinach. Guided Lesson Explanation - This set of instructions is clear and concise with minimal distractions. Fraction Word Problems 5-Pack - Five pages of repeated problems to help hammer home the concepts of this area. Fraction Word Problems (Word-Based Numbers) 5-Pack - There are no numbers in the questions. The numbers are written as words. Practice Worksheet - 2 pages with 10 problems that are full out. There is space to work, too. Matching Worksheet - Sorry, but the units kind of give this one away. Answer Keys - These are for all the unlocked materials above. Homework Sheets I tried to tie the fractions to things that we use fraction unit with every day (distance, recipes, food, etc.) Homework 1 - During the movie Max drinks 5/7 of a cup of water and Luke drinks 1/7 a cup of water. How much more did Max drink? Homework 2 - There are 24 hours in a day. Edward has spent 3/8 of the day in school. How much time will Edward spend in school? Homework 3 - Laura baked 2 cakes in a microwave. Cake one takes 8/12 of an hour to bake. Cake number two takes 5/12 of an hour to bake. How much more time did cake one take? Practice Worksheets These problems are a bit more wordy, if you will. The go is to increase their reading stamina within word problems. Practice 1 - Alexis had 5/8 of a pound of sugar yesterday, but today he had 3/8 of a pound of sugar left. How much sugar did Alexis use? Practice 2 - Grace is making rice for her family. The boys eat 4/7 of a bag of rice and the girls eat 3/7 of a bag of rice. How much more rice did boys eat than the girls? Practice 3 - There are 12 months in a year. Luke has to go on vacation for 1/6 of the year. How much time will Luke spend on holiday? Math Skill Quizzes These get us heading to be ready for unit rates. We also have a few applied unit rate questions in here too. Quiz 1 - Alana used 5 kg of sugar in 15 days. How much sugar did she use in 120 days? Quiz 2 - Dylan bought 6/11 of a kg of apples and 4/11 of a kg of peaches. How much more did the apples weigh than the peaches? Quiz 3 - Lincoln has 35 candies and Callus has 28 candies. What fraction of the candies does Lincoln have? How Do You Identify That A Word Problem Calls for Addition or Subtraction? There are a series of words and phrases that can be found in most word problems that will indicate to you the math operations involved. The common phrases that indicate finding a sum or the addition operations include, but are not limited to: add to, all together, increased by, more than, and go up by. The words that are commonly found in addition-based word problems include: both, combine, perimeter, plus, sum, and total. The phrases that are often used to indicate that you need to subtract are: decreased by, fewer than, how many more, less than, and take away. The words that are common to subtracting are: difference, left, less, minus, and remaining. Not all the problems will contain these terms, but you can be sure many of them will. How Do You Solve Problems Like This? Once you can determine the operations that will be required for you to solve these types of problem, you will run into situations where the math gets in the way. This happens quite often when you run into mixed numbers in these types of word problems. You must have seen mixed numbers quite a few times in your math book. Before you get into adding or subtracting mixed numbers, first make sure you realize what they are. In fractions, mixed numbers are those that have an integer and a proper fraction. Much as they look intimidating, adding and subtracting mixed numbers that have the same denominators is not difficult, in fact it's pretty easy. Let's learn step by step addition and subtraction of mixed numbers with like denominators. The first step is to convert both the mixed numbers into improper fraction. In case you want to know what, an improper fraction is; it is a fraction having greater numerator and smaller denominator. The way to covert mixed number into an improper fraction to multiplying the denominator with the integer and then adding the numerator into the answer. 2 3/4 - Multiply 4 (denominator) with 2 (integer) and add 3 (numerator) in the result. The result is 11/4. After you have two improper fractions, add the numerators of the equation. Make sure that the denominators are same, else numerators can't be added. If the result is an improper fraction, reduce it into a mixed number. Get Access to Answers, Tests, and Worksheets Become a paid member and get: Answer keys to everything Unlimited access - All Grades 64,000 printable Common Core worksheets, quizzes, and tests Used by 1000s of teachers! Worksheets By Email: Get Our Free Email Now! We send out a monthly email of all our new free worksheets. Just tell us your email above. We hate spam! We will never sell or rent your email. Thanks and Don't Forget To Tell Your Friends! I would appreciate everyone letting me know if you find any errors. I'm getting a little older these days and my eyes are going. Please contact me, to let me know. I'll fix it ASAP. 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Premium sounds better Get ready for incredible sound quality. 295 IMAGES Adding and Subtracting Fractions Worksheets with Answer Key Adding and Subtracting Similar and Dissimilar Fractions solving word problem involving addition and subtraction solve word problems involving addition and subtraction of fractions Adding and Subtracting Fractions Worksheet Adding Fractions Word Problems VIDEO Subtract Fractions (Same Denominators) Addition and Subtraction of Fractions Solving Addition and Subtraction in Fraction. #fypシ #mathematics #dailytricks #mathstricks Addition & Subtraction Fractions 5th Grade STAAR Practice Add and Subtract Fractions with Models (5.3H Addition , Subtraction , Multiplication and Division of Fractions COMMENTS Add & subtract fractions word problems Like & unlike denominators. Below are our grade 5 math word problem worksheet on adding and subtracting fractions. The problems include both like and unlike denominators, and may include more than two terms. Worksheet #1 Worksheet #2 Worksheet #3 Worksheet #4. Worksheet #5 Worksheet #6. Addition and subtraction of fractions This unit explores adding and subtracting fractions with unlike denominators, including mixed numbers. Learn through visual models, estimation, and finding common denominators. Engaging exercises and word problems help solidify understanding, preparing you for more complex fraction operations. Add & Subtract Fractions Worksheets for Grade 5 Subtracting unlike fractions: Subtract unlike fractions: 4/5 - 2/3 = Subtract unlike fractions (harder) 17/25 - 2/3 = Subtract mixed numbers (unlike denominators) 16 8/9 - 5 1/8 = Word problems: Add & subtract fractions word problems: Word problems: Add & subtract mixed numbers: Word problems Fractions: Adding and Subtracting Fractions Solving subtraction problems with fractions. Subtracting fractions is a lot like regular subtraction. If you can subtract whole numbers, you can subtract fractions too! Click through the slideshow to learn how to subtract fractions. Let's use our earlier example and subtract 1/4 of a tank of gas from 3/4 of a tank. Fraction Word Problems (Grade 5) How to solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, by using visual fraction models or equations to represent the problem. Examples and step by step solutions. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers, Common Core Grade 5, 5.nf.2 Addition and Subtraction of Fraction: Methods, Facts, Examples Here are the steps to add fractions with the same denominator: Step 1: Add the numerators of the given fractions. Step 2: Keep the denominator the same. Step 3: Simplify. a c + b c = a + b c … c ≠ 0. Example 1: Find 1 4 + 2 4. 1 4 + 2 4 = 1 + 2 4 = 3 4. We can visualize this addition using a bar model: Add and subtract fractions word problems Add and subtract fractions word problems. Google Classroom. Microsoft Teams. Amir is sorting his stamp collection. He made a chart of the fraction of stamps from each country in his collection. 7 12 of Amir's stamps are from either Morocco or Spain. Country. Fraction of stamps. Add and subtract fractions word problems (same denominator) Add and subtract fractions word problems (same denominator) The table shows the amount of apples three friends collected. How many buckets of apples did Fred and Taylor pick combined? Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Fraction Word Problems: Addition, Subtraction, and Mixed Numbers Problem nº 1. Problem nº 2. Problem nº 3. Solution to Problem nº 1. This is an example of a problem involving the addition of a whole number and a fraction. The simplest way to show the number of cookies I ate is to write it as a mixed number. And the data given in the word problem gives us the result: 9 biscuits and 5 / 6 of a biscuit = 9 ... How to Solve Word Problems Involving Addition and Subtraction of Fractions Step 2: For the addition and subtraction of fractions, all fractions must have the same denominator. If your fractions already have the same denominator, you can skip to Step 3. The fractions 3 20 ... 5 Ways to Add and Subtract Fractions So 13 x 2/12 x 2 = 26/24. And 17 x 3/8 x 3 = 51/24. We're well on our way to solving the problem! 4. Add or subtract your fractions. Now that you have the same denominator, you can add these two numbers together with ease. Remember, leave the denominator alone! [12] 26/24 + 51/24 = 77/24. Grade 6 Addition and Subtraction of Fractions Worksheets Fractions worksheet. These grade 6 fractions worksheets focus on adding and subtracting fractions and mixed numbers with unlike denominators. All worksheets are pdf files and answer keys follow the questions on a separate page. Adding Fractions Practice Questions The Corbettmaths Practice Questions on Adding Fractions. Previous: Solving Quadratics Practice Questions Subtracting Fractions Word Problems This fraction word problem requires subtraction. Solution: The fact that the problem is asking how much more black pepper the recipe needs is an indication that 3/4 is bigger than 1/4. However, it does not hurt to check! 3/4 - 1/4 = 2/4 = 1/2. The black pepper is 1/2 of a teaspoon more than the red pepper. Example #2: Free fraction worksheets: addition, subtraction, multiplication, and Fraction worksheets 1 Fraction addition, subtraction, multiplication, and division. This worksheet generator produces a variety of worksheets for the four basic operations (addition, subtraction, multiplication, and division) with fractions and mixed numbers, including with negative fractions. You can make the worksheets in both html and PDF ... Adding Fractions Word Problems Solution. This word problem requires addition of fractions. Choosing a common denominator of 4, we get. 1/2 + 3/4 = 2/4 + 3/4 = 5/4. So, John walked a total of 5/4 miles. Example #2: Mary is preparing a final exam. She study 3/2 hours on Friday, 6/4 hours on Saturday, and 2/3 hours on Sunday. How many hours she studied over the weekend. Add and subtract fractions (different denominators) Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere. ... Subtracting fractions word problem: tomatoes (Opens a modal) Practice. Add and subtract fractions ... Worksheet on Add and Subtract Fractions The question mainly covers addition with the help of a fraction number line, subtraction with the help of a fraction number line, add the fractions with the same ... Worksheet on Word Problems on Addition and Subtraction of Like Fractions: 5. Solve these problems: (a) ¹/₃ of the school garden has vegetable and another ¹/₃ has flowers ... Fraction Addition Word Problems Worksheets A wealth of real-life scenarios that involve addition of fractions with whole numbers and addition of two like fractions, two unlike fractions, and two mixed numbers, our pdf worksheets are indispensable for grade 3, grade 4, grade 5, and grade 6 students. The free fraction addition word problems worksheet is worth a try! Adding & subtracting fractions word problems Word problem worksheets: Addition & subtraction of fractions. Below are three versions of our grade 4 math worksheet on adding and subtracting fractions and mixed numbers. All fractions have like denominators. Some problems will include irrelevant data so that students have to read and understand the questions, rather than simply recognizing a pattern to the solutions. Adding and Subtracting Fraction Word Problems Subject: Mathematics. Age range: 7-11. Resource type: Worksheet/Activity. File previews. docx, 18.11 KB. Here are some word-based questions for solving problems involving the addition and subtraction of fractions. Feedback greatly appreciated! Creative Commons "Sharealike". See more. How to Solve Word Problems Involving the Addition or Subtraction of How to Solve Word Problems Involving the Addition or Subtraction of Fractions with Like Denominators. Step 1: Read the word problem to determine the operation needed and the fractions that will be ... Addition and Subtraction Fraction Word Problems Worksheets The words that are commonly found in addition-based word problems include: both, combine, perimeter, plus, sum, and total. The phrases that are often used to indicate that you need to subtract are: decreased by, fewer than, how many more, less than, and take away. The words that are common to subtracting are: difference, left, less, minus, and ... Fraction Addition and Subtraction: Problems with Solutions Adding and subtracting up to 20; Addition and Subtraction within 20; 2 Grade. Adding and Subtracting up to 100; Addition and Subtraction within 20; 3 Grade. Addition and Subtraction within 1000; Multiplication up to 5; Multiplication Table; Rounding; Dividing; Addition, Multiplication, Division; Perimeter; 4 Grade. Adding and Subtracting ... Addition And Subtraction Of Fractions Grade 4 Fractions math adding subtracting drills mixed worksheets worksheet addition subtraction grade easy printable maths terms number improperAddition and subtraction of fractions with like denominators worksheets e32 Fractions subtracting denominators worksheets subtraction math salamanders problems solving fourthFree fraction worksheets adding ... 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